An \(H\)-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms

From MaRDI portal
Publication:277179

DOI10.1016/j.cam.2016.03.025zbMath1338.15029OpenAlexW2336819882MaRDI QIDQ277179

Kaili Zhang, Y. J. Wang

Publication date: 4 May 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.025




Related Items (50)

An iterative scheme for testing the positive definiteness of multivariate homogeneous formsA linearly convergent algorithm for sparse signal reconstructionSome inequalities for the Fan product of \(M\)-tensorsThe iterative solution of a class of tensor equations via Einstein product with a tensor inequality constraintA new simultaneous iterative method with a parameter for solving the extended split equality problem and the extended split equality fixed point problemNew M-eigenvalue intervals and application to the strong ellipticity of fourth-order partially symmetric tensorsHigh-order sum-of-squares structured tensors: theory and applicationsA Levenberg-Marquardt method for solving semi-symmetric tensor equationsNew methods based \(\mathcal{H}\)-tensors for identifying the positive definiteness of multivariate homogeneous forms\(Z\)-eigenvalue exclusion theorems for tensorsBound estimations on the eigenvalues for Fan product of \(M\)-tensorsSome criteria for identifying \(\mathcal{H}\)-tensors and its applicationsSolutions for a singular Hadamard-type fractional differential equation by the spectral construct analysisSome Ostrowski-type bound estimations of spectral radius for weakly irreducible nonnegative tensorsA uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problemAn efficient algorithm for finding the maximal eigenvalue of zero symmetric nonnegative matricesAn objective penalty function-based method for inequality constrained minimization problemAn iterative algorithm to solve the generalized Sylvester tensor equationsAn Inexact Projected Gradient Method for Sparsity-Constrained Quadratic Measurements RegressionOn Euler-extrapolated Hermitian/skew-Hermitian splitting method for complex symmetric linear systemsC-eigenvalue inclusion theorems for piezoelectric-type tensorsSome criteria for identifying strong -tensors and its applicationsNew methods based on ℋ-tensors for identifying positive definiteness of homogeneous polynomial formsIterative criteria for identifying strong \(\mathcal{H}\)-tensorsHIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONSA weak Galerkin finite element method for solving nonlinear convection-diffusion problems in one dimensionAn SDP method for copositivity of partially symmetric tensorsAn iterative scheme for identifying the positive semi-definiteness of even-order real symmetric H-tensorExclusion sets in the \(S\)-type eigenvalue localization sets for tensorsOn computing minimal \(H\)-eigenvalue of sign-structured tensorsSolution structures of tensor complementarity problemThe tensor Padé-type approximant with application in computing tensor exponential function\(M\)-eigenvalues-based sufficient conditions for the positive definiteness of fourth-order partially symmetric tensorsAn iterative algorithm based on strong \(\mathcal{H} \)-tensors for identifying positive definiteness of irreducible homogeneous polynomial formsOn copositiveness identification of partially symmetric rectangular tensorsNew criteria-based \(\mathcal{H}\)-tensors for identifying the positive definiteness of multivariate homogeneous formsWeak Galerkin finite-element method for time-fractional nonlinear integro-differential equationsSuperconvergence of a modified weak Galerkin method for singularly perturbed two-point elliptic boundary-value problemsA potential reduction method for tensor complementarity problemsM-positive semi-definiteness and M-positive definiteness of fourth-order partially symmetric Cauchy tensorsNew lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applicationsA new programmable iterative algorithm for identifying strong H-tensorsUpper bounds for Z\(_1\)-eigenvalues of generalized Hilbert tensorsAn \(\mathcal{H}\)-tensor-based criteria for testing the positive definiteness of multivariate homogeneous formsBirkhoff-von Neumann theorem and decomposition for doubly stochastic tensorsThe iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution processAn accelerated augmented Lagrangian method for multi-criteria optimization problemOn the M-eigenvalue estimation of fourth-order partially symmetric tensorsαβΩ-inclusion sets for general C-eigenvalues of a general piezoelectric-type tensorA singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties



Cites Work


This page was built for publication: An \(H\)-tensor based iterative scheme for identifying the positive definiteness of multivariate homogeneous forms